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Finding the Third Proportional to 942.10 and 2,045.57

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Solution

The third proportional to 942.10 and 2,045.57 is: 4,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.10 : 2,045.57 = 2,045.57 : x
  2. Step 2: Convert to fraction form
    942.10/2,045.57 = 2,045.57/x
  3. Step 3: Cross multiply
    942.10x = 2,045.57 × 2,045.57
  4. Step 4: Simplify right side
    942.10x = 4,184,341.92
  5. Step 5: Solve for x
    x = 4,184,341.92/942.10
  6. Step 6: Final answer
    x = 4,441.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.